M. Atiyah, V. Drinfeld, N. Hitchin, and Y. Manin, Construction of instantons, Physics Letters A, vol.65, issue.3, pp.185-187, 1978.
DOI : 10.1016/0375-9601(78)90141-X

A. Bertram, I. Ciocan-fontanine, and B. Kim, Gromov-Witten invariants for abelian and nonabelian quotients, Journal of Algebraic Geometry, vol.17, issue.2, pp.275-294, 2008.
DOI : 10.1090/S1056-3911-07-00456-0
URL : http://arxiv.org/abs/math/0407254

K. Carde, J. Loubert, A. Potechin, and A. Sanborn, Proof of Han's hook expansion conjecture

I. Ciocan-fontanine, B. Kim, and C. Sabbah, The Abelian/Nonabelian correspondence and Frobenius manifolds, Inventiones mathematicae, vol.16, issue.6, pp.301-343, 2008.
DOI : 10.1007/s00222-007-0082-x
URL : https://hal.archives-ouvertes.fr/hal-00854565

(. I. Ciocan-fontanine and M. , Konvalinka and I. Pak) On an identity related to the quantum cohomology of Hilb n, p.preprint, 2009.

(. I. Ciocan-fontanine and M. , Konvalinka and I. Pak) The weighted hook length formula, p.preprint, 2009.

D. Diaconescu, Moduli of ADHM sheaves and the local Donaldson???Thomas theory, Journal of Geometry and Physics, vol.62, issue.4
DOI : 10.1016/j.geomphys.2011.12.018

J. S. Frame, G. De, B. Robinson, and R. M. , The hook graphs of the symmetric group, Canad, J. Math, vol.6, pp.316-325, 1954.

A. M. Garsia and M. Haiman, A Randomq,??t-Hook Walk and a Sum of Pieri Coefficients, Journal of Combinatorial Theory, Series A, vol.82, issue.1, pp.74-111, 1998.
DOI : 10.1006/jcta.1997.2842

G. Han, La formule de longueur d?????querre de Nekrasov-Okounkov : raffinement, d??monstration ??l??mentaire, extension et applications, Annales de l???institut Fourier, vol.60, issue.1
DOI : 10.5802/aif.2515

G. Han, Discovering hook length formulas by an expansion technique, RP 133, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00339564

C. Greene, A. Nijenhuis, and H. S. Wilf, A probabilistic proof of a formula for the number of Young tableaux of a given shape, Adv. in Math, pp.31-104, 1979.

C. Greene, A. Nijenhuis, and H. S. Wilf, Another probabilistic method in the theory of young tableaux, Journal of Combinatorial Theory, Series A, vol.37, issue.2, pp.127-135, 1984.
DOI : 10.1016/0097-3165(84)90065-7

M. Haiman, Hilbert schemes, polygraphs and the Macdonald positivity conjecture, Journal of the American Mathematical Society, vol.14, issue.04, pp.941-1006, 2001.
DOI : 10.1090/S0894-0347-01-00373-3

S. Kerov, Aq-analog of the hook walk algorithm and random Young tableaux, Functional Analysis and Its Applications, vol.161, issue.3, pp.383-396, 1993.
DOI : 10.1007/BF01075631

D. E. Knuth, The Art of Computer Programming, 1998.

M. Konvalinka, The weighted hook-length formula II: Complementary formulas, European Journal of Combinatorics, vol.32, issue.4, p.preprint, 2009.
DOI : 10.1016/j.ejc.2011.01.005

H. Nakajima, Heisenberg Algebra and Hilbert Schemes of Points on Projective Surfaces, The Annals of Mathematics, vol.145, issue.2, pp.145-379, 1997.
DOI : 10.2307/2951818

A. Okounkov and R. Pandharipande, Quantum cohomology of the Hilbert scheme of points in the plane, math, 2004.

A. Okounkov and R. Pandharipande, The local Donaldson-Thomas theory of curves, ar- Xiv:math, 512573.

D. E. Rutherford, On the relations between the numbers of standard tableaux, Proceedings of the Edinburgh Mathematical Society, vol.7, issue.01, pp.51-54, 1942.
DOI : 10.1017/S0013091500024299

B. Sagan, The symmetric group, 2001.
DOI : 10.1007/978-1-4757-6804-6

D. Zeilberger, A short hook-lengths bijection inspired by the Greene?Nijenhuis?Wilf proof, Discrete Math, pp.101-108, 1984.